Topological solitons in the supersymmetric Skyrme model

Sven Bjarke Gudnason, Muneto Nitta, Shin Sasaki

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


A supersymmetric extension of the Skyrme model was obtained recently, which consists of only the Skyrme term in the Nambu-Goldstone (pion) sector complemented by the same number of quasi-Nambu-Goldstone bosons. Scherk-Schwarz dimensional reduction yields a kinetic term in three or lower dimensions and a potential term in two dimensions, preserving supersymmetry. Euclidean solitons (instantons) are constructed in the supersymmetric Skyrme model. In four dimensions, the soliton is an instanton first found by Speight. Scherk-Schwarz dimensional reduction is then performed once to get a 3-dimensional theory in which a 3d Skyrmion-instanton is found and then once more to get a 2d theory in which a 2d vortex-instanton is obtained. Although the last one is a global vortex it has finite action in contrast to conventional theory. All of them are non-BPS states breaking all supersymmetries.

Original languageEnglish
Article number14
JournalJournal of High Energy Physics
Issue number1
Publication statusPublished - 2017 Jan 1


  • Sigma Models
  • Solitons Monopoles and Instantons
  • Supersymmetric Effective Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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